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3Blue1Brown | 2021 Summer of Math Exposition results @3blue1brown | Uploaded 2 years ago | Updated 22 minutes ago
Take a look at the full playlist (really): youtube.com/watch?v=fJWnA4j0_ho&list=PLnQX-jgAF5pTkwtUuVpqS5tuWmJ-6ZM-Z
Blog post with more details: 3b1b.co/some1-results
Thanks, as always, to the supporters of this channel for helping to make this whole project possible: http://3b1b.co/thanks

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Typo at 2:00, it should read "Burkard Polster"

Videos and posts mentioned in this video.

That weird light at the bottom of a mug — ENVELOPES
youtu.be/fJWnA4j0_ho

Hiding Images in Plain Sight: The Physics Of Magic Windows
https://mattferraro.dev/posts/caustics-engineering

The Beauty of Bézier Curves
youtu.be/aVwxzDHniEw

What Is The Most Complicated Lock Pattern?
youtu.be/PKjbBQ0PBCQ

Pick's theorem: The wrong, amazing proof
youtu.be/uh-yRNqLpOg

Dirac's belt trick, Topology, and Spin ½ particles
youtu.be/ACZC_XEyg9U

Galois-Free Guarantee! | The Insolubility of the Quintic
youtu.be/BSHv9Elk1MU

The Two Envelope Problem - a Mystifying Probability Paradox
youtu.be/_NGPncypY68

The Math Behind Font Rasterization | How it Works
youtu.be/LaYPoMPRSlk

What is a Spinor?
in-theory.net/what-is-a-spinor

Understanding e
velipeltola.com/understanding-e

Ancient Multiplication Trick
youtu.be/CsMrHzp850M

对称多项式基本定理自我探究
bilibili.com/video/BV19f4y137mJ

Lehmer Factor Stencils
youtu.be/QzohwKT6TNA

What is the limit of a sequence of graphs?
youtu.be/7Gj9BH4IZ-4

Steiner's Porism: proving a cool animation
youtu.be/fKAyaP8IzlE

Wait, Probabilities can be Negative?!
youtu.be/std9EBbtOC0

This random graph fact will blow your mind
youtu.be/3QjZ31lj974

Why is pi here? Estimating π by Buffon's n̶e̶e̶d̶l̶e noodle!
youtu.be/e-RUyCs9B08

Introduction to Waves
airladon.github.io/ivid-wave

Complex Functions
treena.org/lesson/complex-grapher

I spent an entire summer finding this spiral
youtu.be/n-e9C8g5x68

HACKENBUSH: a window to a new world of math
youtu.be/ZYj4NkeGPdM

The Tale of the Lights Puzzle
youtu.be/9aZsABF-Vj4

The BEST Way to Find a Random Point in a Circle
youtu.be/4y_nmpv-9lI

Secrets of the Fibonacci Tiles
youtu.be/Ct7oltmdJrM

The Tale of Three Triangles
youtu.be/5nuYD2M2AX8

How Karatsuba's algorithm gave us new ways to multiply
youtu.be/cCKOl5li6YM

Can you change a sum by rearranging its numbers? --- The Riemann Series Theorem
youtu.be/U0w0f0PDdPA

Neural manifolds - The Geometry of Behaviour
youtu.be/QHj9uVmwA_0

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These animations are largely made using a custom python library, manim. See the FAQ comments here:
3blue1brown.com/faq#manim
github.com/3b1b/manim
github.com/ManimCommunity/manim

You can find code for specific videos and projects here:
github.com/3b1b/videos

Music by Vincent Rubinetti.
vincentrubinetti.com

Download the music on Bandcamp:
vincerubinetti.bandcamp.com/album/the-music-of-3blue1brown

Stream the music on Spotify:
open.spotify.com/album/1dVyjwS8FBqXhRunaG5W5u

Timestamps:
0:00 - Introduction
2:17 - Winners
7:24 - Honorable mentions


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3blue1brown is a channel about animating math, in all senses of the word animate. And you know the drill with YouTube, if you want to stay posted on new videos, subscribe: http://3b1b.co/subscribe

Various social media stuffs:
Website: 3blue1brown.com
Twitter: twitter.com/3blue1brown
Reddit: reddit.com/r/3blue1brown
Instagram: instagram.com/3blue1brown_animations
Patreon: patreon.com/3blue1brown
Facebook: facebook.com/3blue1brown
2021 Summer of Math Exposition resultsHow word vectors encode meaninge to the pi i, a nontraditional take (old version)What does area have to do with slope? | Chapter 9, Essence of calculusBut why is a spheres surface area four times its shadow?Order from chaosHow prisms work (video linked above shows why light slows down)The most unexpected answer to a counting puzzleBayes theorem, the geometry of changing beliefsImaginary interest rates | Ep. 5 Lockdown live mathGradient descent, how neural networks learn | Chapter 2, Deep learningConvolutions | Why X+Y in probability is a beautiful mess

2021 Summer of Math Exposition results @3blue1brown

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